Centripetal force: this is the force that pushes or pulls an object towards the axis of rotation in order to make it follow a curve or circular pathway. When a player swings a bat, he applies centripetal force to make that bat follow the arc of swing.
Centrifugal force: this is the force that pushes or pulls an object outward from the axis of rotation. This force is equal and opposite of the centripetal force.
Centripetal and centrifugal force have innumerable application in sports like,
Centripetal force is needed by the player to maintain his grip. If the rotational momentum is more, the centrifugal force could cause the player to lose his grip and the bat may go of the hand.
These forces act when a runner takes a sharp bend leans inward to obtain the necessary centripetal force.
A cyclist going round the curve leans towards the centre of the curve in order to get necessary centripetal force.